André-Quillen cohomology and rational homotopy of function spaces
Abstract
We develop a simple theory of André-Quillen cohomology for commutative differential graded algebras over a field of characteristic zero. We then relate it to the homotopy groups of function spaces and spaces of homotopy self-equivalences of rational nilpotent
CW
-complexes. This puts certain results of Sullivan in a more conceptual framework.